Large Friction-high Force Fields Limit for the Nonlinear Vlasov--Poisson--Fokker--Planck System
Speaker(s): Yingping Peng(Southwest Jiaotong University)
Time: 15:15-17:00 December 29, 2021
Venue: Online
We provide a quantitative asymptotic analysis for the nonlinear Vlasov--Poisson--Fokker--Planck system with a large linear friction force and high force-fields. The limiting system is a diffusive model with nonlocal velocity fields often referred to as aggregation-diffusion equations. We show that a weak solution to the Vlasov--Poisson--Fokker--Planck system strongly converges to a strong solution to the diffusive model. Our proof relies on the modulated macroscopic kinetic energy estimate based on the weak-strong uniqueness principle together with a careful analysis of the Poisson equation.
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